This practical challenge invites you to investigate the different
squares you can make on a square geoboard or pegboard.
How many ways can you find of tiling the square patio, using square
tiles of different sizes?
Place four pebbles on the sand in the form of a square. Keep adding
as few pebbles as necessary to double the area. How many extra
pebbles are added each time?
You have pitched your
tent (the red triangle) on an island. Can you move it to the
position shown by the purple triangle? You must obey the following
You can only move one peg (corner)
at a time.
Pegs (corners) must stay on the
The area of your tent (the triangle)
must always stay the same but the sides may stretch.